What is 800 divided by 60? Answer is 13.33
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The answer to 800 divided by 60 is approximately 13.33 (or 13 1/3). This means that if you split 800 into 60 equal parts, each part will be 13.33 (or 13 and a third).
Division helps us distribute a number into smaller, equal groups, and in this case, 800 does not divide evenly by 60, so we get a result with a decimal.
Let’s break down this division to understand it more clearly.
800 Divided by 60 Using Long Division
Here’s how to solve 800 ÷ 60 using the long division method:
- Set up the division: Write 800 under the division bar and place 60 outside of it.
- Start with the first digits (800): Since 60 goes into 800, we begin dividing.
- How many times does 60 fit into 800? 60 fits into 800 13 times (60 × 13 = 780).
- Subtract 780 from 800, which leaves a remainder of 20.
- Bring down the decimal point: Since 800 ÷ 60 doesn’t give a whole number, we can add a decimal point and bring down a zero, making it 200.
- How many times does 60 fit into 200? 60 fits into 200 3 times (60 × 3 = 180).
- Subtract 180 from 200, which leaves a remainder of 20 again.
- Bring down another zero, making it 200 once more.
- Repeat the division: 60 goes into 200 three times again.
- Now, we have our quotient: 13.33 (with repeating decimals, represented as 13.3333…).
✅ Final Answer: 800 ÷ 60 = 13.33 (approximately).
There is a repeating decimal, and this is a non-terminating decimal.
Using the Distributive Property
We can also use the distributive property to simplify this division by breaking the number 800 into smaller, easier-to-divide parts. The distributive property of division is:
(a+b)÷c=(a÷c)+(b÷c)
Let’s break 800 into two parts: 600 and 200.
800÷60=(600÷60)+(200÷60)
Now divide each part:
600÷60=10
200÷60=3.33
Now, add the results together:
10+3.33=13.33
This confirms the same result as the long division method.
Other Divisions of 800
Here are some additional useful divisions:
| Division | Answer |
|---|---|
| 800 ÷ 1 | 800 |
| 800 ÷ 2 | 400 |
| 800 ÷ 4 | 200 |
| 800 ÷ 5 | 160 |
| 800 ÷ 6 | 133.33 |
| 800 ÷ 8 | 100 |
| 800 ÷ 10 | 80 |
| 800 ÷ 12 | 66.67 |
| 800 ÷ 15 | 53.33 |
| 800 ÷ 20 | 40 |
| 800 ÷ 30 | 26.67 |
| 800 ÷ 60 | 13.33 |
FAQs
What is the remainder when 800 is divided by 60?
There is no remainder in this case if we express the division as a decimal. The remainder is represented by the decimal part, which repeats as 0.33 (or 1/3), so we can say the remainder is 20, or approximately 1/3 of 60.
Is 800 divisible by 60?
No, 800 is not divisible by 60 without a remainder. The quotient is a repeating decimal (13.33), meaning 800 does not divide evenly by 60.
How can you check this division?
You can check the division by multiplying the quotient (13.33) by the divisor (60):
13.33×60=800
This confirms that the answer is correct.
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